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Finding the Third Proportional to 73,655 and 160,435

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Solution

The third proportional to 73,655 and 160,435 is: 349,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,655 : 160,435 = 160,435 : x
  2. Step 2: Convert to fraction form
    73,655/160,435 = 160,435/x
  3. Step 3: Cross multiply
    73,655x = 160,435 × 160,435
  4. Step 4: Simplify right side
    73,655x = 25,739,389,225
  5. Step 5: Solve for x
    x = 25,739,389,225/73,655
  6. Step 6: Final answer
    x = 349,458.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.